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Finding the Fourth Proportional to 148.82, 223.26 and 52.62

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Solution

The fourth proportional to 148.82, 223.26 and 52.62 is: 78.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.82 : 223.26 = 52.62 : x
  2. Step 2: Convert to fraction form
    148.82/223.26 = 52.62/x
  3. Step 3: Cross multiply
    148.82x = 223.26 × 52.62
  4. Step 4: Simplify right side
    148.82x = 11,747.94
  5. Step 5: Solve for x
    x = 11,747.94/148.82
  6. Step 6: Final answer
    x = 78.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.